The T= 0 energy spectrum and the electromagnetic transitions of the 32S nucleus are described in terms of the semimicroscopic algebraic cluster model. 28Si+a and 16O +16O configurations are considered for the low-lying bands and molecular resonances, respectively. The cluster configurations, including their Hamiltonians, are treated in a unified framework. The densities of high-lying core-plus-alpha-particle states are predicted in those energy windows, where good-resolution experiments have been carried out.
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